A concise guide to statistics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2012
|
| Schriftenreihe: | Springer briefs in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIII, 111 S. graph. Darst. |
| ISBN: | 9783642235016 3642235018 9783642235023 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text |
IMAGE 1
CONTENTS
1 BASICS OF PROBABILITY THEORY 1
1.1 PROBABILITY AND EVENTS 1
1.2 RANDOM VARIABLES 8
1.3 THE NORMAL DISTRIBUTION 14
1.4 IMPORTANT DISTRIBUTIONS AND THEIR RELATIONS 15
1.5 QUANTILES 16
1.6 MOMENTS 17
1.6.1 EXPECTATION 17
1.6.2 VARIANCE AND STANDARD DEVIATION 18
1.6.3 Z-SCORES 20
1.6.4 COVARIANCE AND INDEPENDENCE 21
1.6.5 GENERAL MOMENTS; SKEWNESS AND KURTOSIS 22
1.7 IMPORTANT LIMIT THEOREMS 23
1.8 VISUALIZING DISTRIBUTIONS 24
1.8.1 SUMMARIES 24
1.8.2 PLOTTING EMPIRICAL DISTRIBUTIONS 24
1.8.3 QUANTILE-QUANTILE PLOTS 25
1.8.4 BARPLOTS AND BOXPLOTS 26
1.9 SUMMARY 27
2 ESTIMATION 29
2.1 INTRODUCTION 29
2.2 CONSTRUCTING ESTIMATORS 32
2.2.1 MAXIMUM-LIKELIHOOD 32
2.2.2 LEAST-SQUARES 34
2.2.3 PROPERTIES OF ESTIMATORS 34
2.3 CONFIDENCE INTERVALS 36
2.3.1 THE BOOTSTRAP 39
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1013868161
DIGITALISIERT DURCH
IMAGE 2
XII CONTENTS
2.4 ROBUST ESTIMATION 42
2.4.1 LOCATION: MEDIAN AND FC-TRIMMED MEAN 43
2.4.2 SCALE: MAD AND IQR 45
2.5 MINIMAX ESTIMATION AND MISSING OBSERVATIONS 46
2.5.1 LOSS AND RISK 46
2.5.2 MINIMAX ESTIMATORS 47
2.6 FISHER-INFORMATION AND CRAMER-RAO BOUND 49
2.7 SUMMARY 51
3 HYPOTHESIS TESTING 53
3.1 INTRODUCTION 53
3.2 THE GENERAL PROCEDURE 56
3.3 TESTING THE MEAN OF NORMALLY DISTRIBUTED DATA 58
3.3.1 KNOWN VARIANCE 58
3.3.2 UNKNOWN VARIANCE: F-TESTS 61
3.4 OTHER TESTS 64
3.4.1 TESTING EQUALITY OF DISTRIBUTIONS: KOLMOGOROV-SMIRNOV 64
3.4.2 TESTING FOR NORMALITY: SHAPIRO-WILKS 64
3.4.3 TESTING LOCATION: WILCOXON 65
3.4.4 TESTING MULTINOMIAL PROBABILITIES: PEARSON'S Y 2 67
3.4.5 TESTING GOODNESS-OF-FIT 68
3.5 SENSITIVITY AND SPECIFICITY 69
3.6 MULTIPLE TESTING 71
3.6.1 BONFERRONI-CORRECTION 72
3.6.2 FALSE-DISCOVERY-RATE (FDR) 72
3.7 COMBINING RESULTS OF MULTIPLE EXPERIMENTS 74
3.8 SUMMARY 75
REFERENCE 75
4 REGRESSION 77
4.1 INTRODUCTION 77
4.2 CLASSES OF REGRESSION PROBLEMS 78
4.3 LINEAR REGRESSION: ONE COVARIATE 79
4.3.1 PROBLEM STATEMENT 79
4.3.2 PARAMETER ESTIMATION 80
4.3.3 CHECKING ASSUMPTIONS 82
4.3.4 LINEAR REGRESSION USING R 83
4.3.5 ON THE "LINEAR" IN LINEAR REGRESSION 84
4.4 LINEAR REGRESSION: MULTIPLE COVARIATES 85
4.4.1 PROBLEM STATEMENT 85
4.4.2 PARAMETER ESTIMATION 86
4.4.3 HYPOTHESIS TESTING AND MODEL REDUCTION 86
4.4.4 OUTLIERS 93
IMAGE 3
CONTENTS XIII
4.4.5 ROBUST REGRESSION 96
4.5 ANALYSIS-OF-VARIANCE 97
4.5.1 PROBLEM STATEMENT 97
4.5.2 PARAMETER ESTIMATION 99
4.5.3 HYPOTHESIS TESTING 99
4.6 INTERPRETING ERROR BARS 106
4.7 SUMMARY 108
REFERENCE 108
INDEX 109 |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-21T00:12:57Z |
| institution | BVB |
| isbn | 9783642235016 3642235018 9783642235023 |
| language | English |
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| physical | XIII, 111 S. graph. Darst. |
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| spelling | Kaltenbach, Hans-Michael Verfasser (DE-588)1017565147 aut A concise guide to statistics Hans-Michael Kaltenbach Heidelberg [u.a.] Springer 2012 XIII, 111 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer briefs in statistics Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Erscheint auch als Online-Ausgabe 10.1007/978-3-642-23502-3 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3859630&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024489869&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaltenbach, Hans-Michael A concise guide to statistics Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 |
| title | A concise guide to statistics |
| title_auth | A concise guide to statistics |
| title_exact_search | A concise guide to statistics |
| title_full | A concise guide to statistics Hans-Michael Kaltenbach |
| title_fullStr | A concise guide to statistics Hans-Michael Kaltenbach |
| title_full_unstemmed | A concise guide to statistics Hans-Michael Kaltenbach |
| title_short | A concise guide to statistics |
| title_sort | a concise guide to statistics |
| topic | Statistik (DE-588)4056995-0 gnd |
| topic_facet | Statistik |
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